2,273 reputation
1213
bio website poisson.phc.unipi.it/~mossa
location Earth
age 25
visits member for 1 year, 11 months
seen 12 hours ago
stats profile views 220

I'm math student, in particular I'm interested in algebra, geometry, topology and category theory (especially higher dimensional category theory) and its application in mathematics.


Jan
7
revised Foundation for category theory
made some improvement to the question
Jan
7
comment Foundation for category theory
@IttayWeiss I've edited the question.
Jan
7
revised Foundation for category theory
made some improvement to the question
Jan
7
comment Foundation for category theory
@IttayWeiss good point....give me some time. I'll try to reformulate the question in a different way. Meanwhile thanks for the comments.
Jan
7
comment Foundation for category theory
@IttayWeiss Not exactly, I'm looking for concrete categories in which develop category theory. For what I got topos theory require category theory and set theory as its basis to be fully developed. What I'm asking for is something that we could call a foundational category. Hope I've been able to clear my doubts.
Jan
7
answered Looking for philosophical subject for my Bachelor Thesis
Jan
7
asked Foundation for category theory
Jan
5
comment What can we say about the map $G\mapsto \text{Aut}(G)$ on the proper class of all groups?
That's true, but how does it look like when we restrict it to a skeletal category?
Jan
5
revised What can we say about the map $G\mapsto \text{Aut}(G)$ on the proper class of all groups?
made a correction
Jan
5
answered What can we say about the map $G\mapsto \text{Aut}(G)$ on the proper class of all groups?
Dec
30
comment When are elements in a tensor product equal to $0$?
of course we suppose that $a,b$ as above must be not torsion element, i.e. both non null. :)
Dec
30
comment When are elements in a tensor product equal to $0$?
@FortuonPaendrag in your case $A \otimes_R B = \mathbb Z \otimes_\mathbb{Z} \mathbb Z = \mathbb Z$ but this doesn't seem trivial to me and more important for each pair of elements $a,b \in \mathbb Z$ you get that $a \otimes b = ab$ which is not $0$.
Dec
30
comment On infinite groups that is not Simple
@ChrisEagle You're right, but it seems that DonAntonio beat me in time. Anyway thank you both to helping me improving the answer. :)
Dec
30
answered On infinite groups that is not Simple
Dec
22
asked Lax algebras as lax morphisms
Dec
19
awarded  Nice Answer
Dec
10
comment Has this algebraic structure been named or studied?
So basically what you're describing is a monoid with an endomorphism on it, right?!
Dec
8
accepted Reasons for coherence for bi/monoidal categories
Dec
8
comment semidirect product, split extension
@grendizer yes, that or more easily from the fact that $\beta \circ \gamma = \text{id}$, by splitting property.
Dec
8
revised semidirect product, split extension
improved answer